Semiclassical Dynamics in Mesoscopic Physics

介观物理中的半经典动力学

• 批准号: 9421153
• 负责人: Steven Tomsovic
• 金额: --
• 依托单位: Washington State University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9421153&HistoricalAwards=false
• 关键词: Semiclassical; Dynamics; Mesoscopic; Physics

9421153 Tomsovic This project is aimed at extending new, more powerful semiclassical methods: i) to mesoscopic and atomic problems - the emphasis is on quantum coherence and wave-function localization problems, ii) to simplifying the difficulties arising in connection with chaotic motion, iii) to investigating the leading corrections and higher degrees of freedom, and iv) to adapting the methods to stationary quantum mechanics. Finally, expertise garnered from previous investigations will be brought into the classroom, such as the animation of real time wave equation solutions. The overall subject matter of this proposal is highly interdisciplinary and has consequences in many domains. Analogous phenomena can be found in acoustic, atomic, mesoscopic, molecular and optical systems. It has the further interest of involving the Correspondence Principle and ultimately the interpretation of quantum mechanics. Experience reveals a strong student interest in the combination of mesoscopic physics, nonlinear dynamics and wave asymptotics. Conversant students have a broad base and are well equipped for research careers in a number of disciplines. ***

这个项目旨在扩展新的，更强大的半经典方法：i)介观和原子问题-重点是量子相干性和波函数局部化问题，ii)简化与混沌运动相关的困难，iii)研究领先的修正和更高的自由度，iv)使方法适应静止量子力学。最后，从先前的调查中获得的专业知识将被带入课堂，例如实时波动方程解的动画。本提案的总体主题是高度跨学科的，并在许多领域产生影响。类似的现象可以在声学、原子、介观、分子和光学系统中发现。它有涉及对应原理的进一步兴趣，并最终解释量子力学。经验表明学生对介观物理、非线性动力学和波动渐近学的结合有浓厚的兴趣。精通的学生有广泛的基础，并为许多学科的研究工作做好了充分的准备。＊＊＊